Kirilaha N. Mathematical model operation of quasistationary and non-stationary temperature fields

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U000493

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

16-01-2004

Specialized Academic Board

К 08.051.09

Essay

The mathematical models of mediums fixed iso-tropic and anisotropics high-temperature fields are explored, in which the interior radiants of heat work. The models are constructed as nonlinear boundary value problems of a thermal conduction. The models with use of nonlocal integrated requirements and re-quirements of an impedance type are also con-structed. The analytical, numerical and numerically - analytical methods are used . The algorithms of a solution of nonlinear integral equations of the Gam-mershten are offered. The difference plans for a so-lution of multivariate nonlinear problems are con-structed. The convergence of the constructed nu-merical algorithms is explored, the relevant theo-rems are proved. In practice they can be used in making the software the automized control systems of processes of heat treatment.

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